Affect of interference fringe width for processing accuracy and its recognition in measuring form deviation of tooth flank with laser interferometry

2014 ◽  
Vol 328 ◽  
pp. 49-56 ◽  
Author(s):  
Suping Fang ◽  
Xindong Zhu ◽  
Pengcheng Yang ◽  
Qiwen Cai ◽  
Masaharu Komori ◽  
...  
Keyword(s):  
Interference Fringe ◽  
Laser Interferometry ◽  
Fringe Width ◽  
Processing Accuracy ◽  
Tooth Flank ◽  
Form Deviation

Laser Holographic Measurement of Tooth Flank Form of Cylindrical Involute Gear: Part 1 — Principle and Measurement of Spur Gear

1992 ◽  
Author(s):  
A. Kubo ◽  
H. Fujio ◽  
S. Tochimoto ◽  
T. Honda ◽  
S. Saitoh ◽  
...  
Keyword(s):  
Interference Fringe ◽  
Incident Angle ◽  
Gear Tooth ◽  
Measuring Method ◽  
Spur Gear ◽  
Phase Stepping ◽  
Phase Stepping Method ◽  
Tooth Flank ◽  
Form Deviation ◽  
Holographic Measurement

Abstract Form deviation of tooth flank of spur gear is measured by laser holographic interferometer. To get the reflected ray from the objective tooth flank, laser beam is irradiated with large incident angle to the objective tooth flank which has considerably rough surface finish in comparison with that of optical parts. Some tooth flanks with various kinds of form deviation were measured, and image patterns of interference fringe were obtained. The conversion of the coordinates of the image figure of the gear tooth flank on CRT to the coordinate system of the gear is worked out by fitting the contour form of simulated figure to that of observed images. The algorithm of transformation from interference fringe pattern to tooth flank form deviation is shown: The brightness of the interference fringe image on the CRT is converted to the amplitude of form deviation defined on the plane of action of the gear via phase difference of light beam which is obtained by phase stepping method. The form deviations of tooth flanks of spur gear obtained by this interference method were compared with the results of conventional measuring method using contacting stylus.

scholarly journals New Optical System for Reducing the Interference Fringe Density in Laser Interferometric Measurement of Tooth Flank Form of a Gear.

2000 ◽  
Vol 43 (2) ◽  
pp. 455-463 ◽  
Author(s):  
Suping FANG ◽  
Hiroshige FUJIO ◽  
Aizoh KUBO ◽  
Masahiro TOYA ◽  
Yoshikazu SUZUKI ◽  
...  
Keyword(s):  
Optical System ◽  
Interference Fringe ◽  
Interferometric Measurement ◽  
Tooth Flank ◽  
Laser Interferometric

scholarly journals Measurement of Gear Tooth Form Deviation by Laser Interferometry Using CCD Image Sensor.

1996 ◽  
Vol 62 (598) ◽  
pp. 2422-2430 ◽  
Author(s):  
Hiroshige FUJIO ◽  
Aizoh KUBO ◽  
Suping FANG ◽  
Kazufumi OYAMA ◽  
Toyohiko YATAGAI ◽  
...  
Keyword(s):  
Gear Tooth ◽  
Laser Interferometry ◽  
Image Sensor ◽  
Ccd Image Sensor ◽  
Tooth Form ◽  
Form Deviation ◽  
Ccd Image

Analysis of Gear Measurement Using Virtual Gear Checker (VGC)

2008 ◽  
Vol 381-382 ◽  
pp. 577-578
Author(s):  
Fumi Takeoka ◽  
Masaharu Komori ◽  
M. Takahashi ◽  
A. Kubo ◽  
Toshiyuki Takatsuji ◽  
...  
Keyword(s):  
Quality Control ◽  
Virtual Space ◽  
Simulation Program ◽  
Uncertainty Of Measurement ◽  
Measurement Result ◽  
Noise Characteristics ◽  
Tooth Flank ◽  
Form Deviation

Tooth flank form deviation of micrometers influences vibration and noise characteristics of gears and therefore strict quality control of tooth flank form is demanded. However, since gear checker is structurally-complex, it is difficult to analyze how error factors of gear checkers influence the measurement result. In this research, Virtual Gear Checker (VGC) is proposed, which is a simulation program of gear measurement considering the mechanisms and motions of gear checkers and possible error factors. The influence of the error factors on the measurement result can be clarified by VGC. VGC is also able to calculate the theoretical measurement result of non-involute helicoid artifact. It is easy for VGC to measure tooth flank form repeatedly in virtual space and therefore it can assess the uncertainty of measurement with gear checker. The uncertainty of gear measurement is calculated as an example.

Analysis of General Characteristics of Transmission Error of Gears With Convex Modification of Tooth Flank Form Considering Elastic Deformation Under Load

2009 ◽  
Vol 131 (6) ◽  
Author(s):  
Edzrol Niza Mohamad ◽  
Masaharu Komori ◽  
Hiroaki Murakami ◽  
Aizoh Kubo ◽  
Suping Fang
Keyword(s):  
Power Transmission ◽  
Transmission Error ◽  
Elastic Model ◽  
Qualitative Characteristic ◽  
Contact Ratio ◽  
Factors Affecting ◽  
Specific Loading ◽  
Tooth Flank ◽  
Form Deviation ◽  
Peak Value

The vibration/noise of power transmission gears is a serious problem for vehicles including automobiles, and therefore many studies on gear vibration have been reported. These studies, however, were carried out by investigation using numerical simulations in which gears with specific dimensions and tooth flank modifications under specific loading were considered. Therefore, the general characteristics of the transmission error of gears have not been clarified theoretically. In this report, a general model for the tooth meshing of gears is proposed; in which a quasi-infinite elastic model composed of springs with stiffness peculiar to the gear is incorporated. The transmission error of gears is formulated by theoretical equations. An investigation on the factors affecting the general characteristics of transmission error is accomplished using the formulated equations. The qualitative characteristic of the transmission error of gears with convex tooth flank form deviation is determined by the actual contact ratio and qualitative elements of gears, i.e., tooth flank form deviation and the distribution of stiffness. Even if the amplitude of torque, the amount of tooth flank form deviation, and other quantitative elements are not determined, the qualitative characteristic of transmission error can be derived. The peak-to-peak value of transmission error increases proportionately to the amount of tooth flank form deviation.

Effect of Convex Tooth Flank Form Deviation on the Characteristics of Transmission Error of Gears Considering Elastic Deformation

2010 ◽  
Vol 132 (10) ◽  
Author(s):  
Edzrol Niza Mohamad ◽  
Masaharu Komori ◽  
Hiroaki Murakami ◽  
Aizoh Kubo ◽  
Suping Fang
Keyword(s):  
Elastic Deformation ◽  
General Model ◽  
Transmission Error ◽  
Gear Transmission ◽  
Elastic Model ◽  
Contact Ratio ◽  
Actual Contact ◽  
Tooth Flank ◽  
Form Deviation ◽  
Peak Value

The transmission error of gears is an important factor for power transmissions, particularly automotive. Consequently, a lot of research has been conducted on the gear transmission. However, in contrast, there remains relatively little research clarifying the characteristics of gear transmission error and its relationship to the tooth flank form. The authors have proposed a general model for tooth meshing between gears. This expresses the transmission error theoretically from a quasi-infinite elastic model, which is composed of springs with stiffness specific to the gears. In this report, the influence of tooth flank form deviation on transmission error is further investigated by using this model. It is shown that the form of the ridge curve of the tooth flank form deviation greatly influences the actual contact ratio at the minimum point of peak-to-peak value of transmission error. The peak-to-peak value of transmission error is affected by the amplitude and the form of the ridge curve.

Laser Holographic Measurement of Tooth Flank Form of Cylindrical Involute Gear

1994 ◽  
Vol 116 (3) ◽  
pp. 721-729 ◽  
Author(s):  
H. Fujio ◽  
A. Kubo ◽  
S. Saitoh ◽  
M. Suzuki ◽  
S. Tochimoto ◽  
...  
Keyword(s):  
Laser Beam ◽  
Incident Angle ◽  
Measuring Method ◽  
Helical Gears ◽  
Phase Stepping ◽  
Interference Fringes ◽  
Phase Stepping Method ◽  
Tooth Flank ◽  
Form Deviation ◽  
Holographic Measurement

The form deviations of tooth flanks of spur and helical gears obtained by using a laser holographic interferometer are compared with the results of the conventional measuring method using a contacting stylus. The objective tooth flank which has a rough finish compared with optical parts is irradiated with a laser beam in a large incident angle to obtain the reflected ray from it. Image patterns of the interference fringes for tooth flanks with various types of form deviation are obtained, and they are transformed to the form deviations from the target tooth flank form. The algorithm of this transformation is shown: the brightness information of the image of the interference fringe on the CRT is converted to the amplitude of form deviation defined on the plane of action of the gear according to the phase difference of light beam by using the phase stepping method. A partial measuring procedure for helical gears is proposed which achieves the same level of accuracy as the conventional method using a stylus.

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